From sum rules to RPA: 1. Nuclei

Reinhard, P.‐G.

doi:10.1002/andp.19925040805

Cited by 83 publications

(139 citation statements)

References 43 publications

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“…Then, the RPA equations are solved using the particle-hole interaction deduced from , by employing a certain numerical method [27][28][29], and the physical quantities of interest, such as the strength functions S(E) and transition densities, are calculated. We point out that in a fully self-consistent HF-based RPA calculations, one should include all the components of in the RPA calculations and use a sufficiently large particle-hole configuration space to insure convergence.…”

Section: Self-consistent Hf Based Rpa Approachmentioning

confidence: 99%

“…(3) to (14) with Tables 1 and 2 and employing the numerical method for RPA described in Ref. [28,36,37], which is formulated in terms of coordinate like Q (time-even) and momentum like P (time-odd) particle-hole (ph) operators and adapted for a given EDF. We point out that in order to insure selfconsistency we have carried out the calculations using a large p-h space and included all the terms of the p-h residual interaction (time-even and time-odd) which are associated with the EDF used in the HF calculations.…”

Section: Rpa Calculations Of Strength Functionsmentioning

confidence: 99%

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Giant resonances in40Ca and48Ca

et al. 2013

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We present results of fully self-consistent Hartree-Fock based random phase approximation calculations of the strength functions S(E) and centroid energies E CEN of isoscalar (T = 0) and isovector (T = 1) giant resonances of multipolarities L = 0 -3 in 40 Ca and 48 Ca, using a wide range of commonly employed 18 Skyrme type nucleonnucleon effective interactions. We determined the sensitivities of E CEN and of the isotopic differences E CEN ( 48 Ca) -E CEN ( 40 Ca) to physical quantities, such as nuclear matter incompressibility coefficient, symmetry energy density and effective mass, associated with the Skyrme interactions and compare the results with the available experimental data.

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Section: Self-consistent Hf Based Rpa Approachmentioning

confidence: 99%

Section: Rpa Calculations Of Strength Functionsmentioning

confidence: 99%

Giant resonances in40Ca and48Ca

et al. 2013

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“…In this sense, the calculations are fully self-consistent. Employing the numerical approach of [23,24], we have carried out fully self-consistent HF based RPA calculations of the ISGMR strength functions, for the scattering operator f = r 2 Y 00 , for 40 Ca and for 48 Ca, using various Skyrme type effective interactions, see Ref. [22] for details.…”

Section: Description Of Microscopic Calculationsmentioning

confidence: 99%

“…[20,21] and fully self-consistent Hartree-Fock based RPA calculations [22] with commonly used Skyrme type interactions, using the method of Refs. [23,24], and emphasize, in particular, the importance of self-consistency.…”

Section: Introductionmentioning

confidence: 99%

Isoscalar giant resonances inCa48

et al. 2011

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The giant resonance region from 9.5 MeV < E x < 40 MeV in 48 Ca has been studied with inelastic scattering of 240 MeV α particles at small angles, including 0º. 95±11% of E0 energy weighted sum rule (EWSR), 10 16 83 + − % of E2 EWSR and 137±20% of E1 EWSR were located below E x = 40 MeV. A comparison of the experimental data with calculated results for the isoscalar giant monopole resonance, obtained within the mean-field based random phase approximation, is also given.

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“…The underlying SHF functional and subsequent mean-field equations are explained in more detail in, for example [10,28,29].…”

Section: A Mean-field Equationsmentioning

confidence: 99%

Dipole giant resonances in deformed heavy nuclei

et al. 2005

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The spectral distribution of isovector dipole strength is computed using the time-dependent Skyrme-HartreeFock method with subsequent spectral analysis. The calculations are done without any imposed symmetry restriction, allowing any nuclear shape to be dealt with. The scheme is used to study the deformation dependence of giant resonances and its interplay with Landau fragmentation (owing to 1ph states). Results are shown for the chain of Nd isotopes, superdeformed 152 Dy, triaxial 188 Os, and 238 U.

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From sum rules to RPA: 1. Nuclei

Cited by 83 publications

References 43 publications

Giant resonances in40Ca and48Ca

Giant resonances in40Ca and48Ca

Isoscalar giant resonances inCa48

Dipole giant resonances in deformed heavy nuclei

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